intersect

ngles or congruent segments. Use these constructions to apply theorems more effectively. Employing Symmetry and Similarity Recognize symmetric configurations to simplify calculations. Use similar triangles to find unknown segments or angles. Practical Tips for Solving Line-Circle Interse

he line passes through (8, 7). Assume the line has the form: \( y = m x + c \). Since it passes through (8, 7), \[7 = m \times 8 + c \Rightarrow c = 7 - 8m\] Substitute into the circle's equation: \[(x - 3)^2 + (m x + c - 2)^2 = 25\] Plugg